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Volumn 282, Issue 1, 2003, Pages 177-200

Precise regularity results for the Euler equations

Author keywords

Besov; Blow up; Euler; Incompressible

Indexed keywords


EID: 0038011350     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00135-5     Document Type: Article
Times cited : (6)

References (13)
  • 1
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    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 2
    • 21144480338 scopus 로고
    • On the blow-up of solutions of the 3-D Euler equations in a bounded domain
    • A.B. Ferrari, On the blow-up of solutions of the 3-D Euler equations in a bounded domain, Comm. Math. Phys. 155 (1993) 277-294.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 277-294
    • Ferrari, A.B.1
  • 3
    • 0009268557 scopus 로고
    • A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain
    • T. Shirota, T. Yanagisawa, A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain, Proc. Japan Acad. Ser. A 69 (1993) 77-82.
    • (1993) Proc. Japan Acad. Ser. A , vol.69 , pp. 77-82
    • Shirota, T.1    Yanagisawa, T.2
  • 4
    • 0009139912 scopus 로고
    • Remarques sur l'apparition de singularités dans les écoulements eulériens incompressibles à donnée initiale höldérienne
    • H. Bahouri, B. Dehman, Remarques sur l'apparition de singularités dans les écoulements eulériens incompressibles à donnée initiale höldérienne, J. Math. Pures Appl. 73 (1994) 335-346.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 335-346
    • Bahouri, H.1    Dehman, B.2
  • 5
    • 0033472885 scopus 로고    scopus 로고
    • Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type
    • M. Visik, Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type, Ann. Sci. École Norm. Sup. 32 (1999) 769-812.
    • (1999) Ann. Sci. École Norm. Sup. , vol.32 , pp. 769-812
    • Visik, M.1
  • 6
    • 0032263330 scopus 로고    scopus 로고
    • Hydrodynamics in Besov spaces
    • M. Visik, Hydrodynamics in Besov spaces, Arch. Rational Mech. Anal. 145 (1998) 197-214.
    • (1998) Arch. Rational Mech. Anal. , vol.145 , pp. 197-214
    • Visik, M.1
  • 7
    • 0036115549 scopus 로고    scopus 로고
    • On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
    • D.H. Chae, On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces, Comm. Pure Appl. Math. LV (2002) 654-678.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 654-678
    • Chae, D.H.1
  • 9
    • 0001722244 scopus 로고
    • Remarks on axisymmetric solutions of the incompressible Euler system
    • X. Saint Raymond, Remarks on axisymmetric solutions of the incompressible Euler system, Comm. Partial Differential Equations 19 (1994) 321-334.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 321-334
    • Saint Raymond, X.1
  • 10
    • 0033211894 scopus 로고    scopus 로고
    • Existence globale en temps de solutions hélicoïdales des équations d'Euler
    • A. Dutrifoy, Existence globale en temps de solutions hélicoïdales des équations d'Euler, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999) 653-656.
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.329 , pp. 653-656
    • Dutrifoy, A.1
  • 12
    • 0003295738 scopus 로고
    • Theory of Functions Spaces
    • Birkhäuser
    • H. Triebel, Theory of Functions Spaces, in: Monographs in Mathematics, Vol. 78, Birkhäuser, 1983.
    • (1983) Monographs in Mathematics , vol.78
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.